On the monofractality of many stationary continuous Gaussian fields

DOI10.1016/j.jfa.2021.109111zbMath1480.60099OpenAlexW3173022570MaRDI QIDQ2039835

Antoine Ayache

Publication date: 5 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109111

zbMATH Keywords

Besov spaceHölder regularityLittlewood-Paley decompositionsample path behaviour

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sample path properties (60G17) Fourier series and coefficients in several variables (42B05)

Cites Work

• Some sample path properties of multifractional Brownian motion
• Continuous Gaussian multifractional processes with random pointwise Hölder regularity
• How smooth is almost every function in a Sobolev space?
• The multifractal nature of Lévy processes
• Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields
• Characterization of pointwise Hölder regularity
• A survey on prescription of multifractal behavior
• Linear multifractional stable motion: fine path properties
• Regularity criteria for almost every function in Sobolev spaces
• Properties of local-nondeterminism of Gaussian and stable random fields and their applications
• Fine regularity of Lévy processes and linear (multi)fractional stable motion
• Gaussian Hilbert Spaces
• Multifractional Stochastic Fields
• Gaussian Sample Functions: Uniform Dimension and Hölder Conditions Nowhere
• Wavelets
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